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Finding the Third Proportional to 11,972.25 and 18,283.50

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Solution

The third proportional to 11,972.25 and 18,283.50 is: 27,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.25 : 18,283.50 = 18,283.50 : x
  2. Step 2: Convert to fraction form
    11,972.25/18,283.50 = 18,283.50/x
  3. Step 3: Cross multiply
    11,972.25x = 18,283.50 × 18,283.50
  4. Step 4: Simplify right side
    11,972.25x = 334,286,372.25
  5. Step 5: Solve for x
    x = 334,286,372.25/11,972.25
  6. Step 6: Final answer
    x = 27,921.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.